100321020000 has 180 divisors, whose sum is σ = 356496400260. Its totient is φ = 26752224000.

The previous prime is 100321019969. The next prime is 100321020013. The reversal of 100321020000 is 20123001.

It is a happy number.

100321020000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 98670 + ... + 458669.

It is an arithmetic number, because the mean of its divisors is an integer number (1980535557).

Almost surely, 2^100321020000 is an apocalyptic number.

100321020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100321020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178248200130).

100321020000 is an abundant number, since it is smaller than the sum of its proper divisors (256175380260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100321020000 is an equidigital number, since it uses as much as digits as its factorization.

100321020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557375 (or 557349 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100321020000 its reverse (20123001), we get a palindrome (100341143001).

The spelling of 100321020000 in words is "one hundred billion, three hundred twenty-one million, twenty thousand".